What is the Greatest Common Factor of 34370 and 34384?

Greatest common factor (GCF) of 34370 and 34384 is 14.

GCF(34370,34384) = 14

We will now calculate the prime factors of 34370 and 34384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34370 and 34384.

How to find the GCF of 34370 and 34384?

We will first find the prime factorization of 34370 and 34384. After we will calculate the factors of 34370 and 34384 and find the biggest common factor number .

Step-1: Prime Factorization of 34370

Prime factors of 34370 are 2, 5, 7, 491. Prime factorization of 34370 in exponential form is:

34370 = 2¹ × 5¹ × 7¹ × 491¹

Step-2: Prime Factorization of 34384

Prime factors of 34384 are 2, 7, 307. Prime factorization of 34384 in exponential form is:

34384 = 2⁴ × 7¹ × 307¹

Step-3: Factors of 34370

List of positive integer factors of 34370 that divides 34370 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 491, 982, 2455, 3437, 4910, 6874, 17185

Step-4: Factors of 34384

List of positive integer factors of 34384 that divides 34370 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 307, 614, 1228, 2149, 2456, 4298, 4912, 8596, 17192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34370 and 34384. The biggest common factor number is the GCF number.
So the greatest common factor 34370 and 34384 is 14.

Also check out the Least Common Multiple of 34370 and 34384